hugomimihu

SavvyBee, I recall this is an AoPS intro to counting quesiton, please provide problem number and week so I can give you a hint.

Rearrangement.

If we subtract 4 from both sides we get 5-4-2x > x + 4-4 which is 1-2x > x

Adding 2x to each side gives 1 > 3x

Dividing each side gives 1/3 > x

If you don't understand anything feel free to ask!

THis is an AOPS question. Do not give full responses.

Guest, if you will give me the week and problem #, I'll be happy to give you a hint.

Actually you forgot to multiply by two(but good job)

\(r = \frac{[ABC]}{s} = \frac{120}{(17+17+16)/2} = \boxed{\frac{24}{5}}.\)

I think that's the answer?

For question 2.

each song is 3.5 minutes, slidshow 31.5, so we divide 31.5 by 3.5 and get 9.

9 songs.

If you don't understand anything feel free to ask. :)

The A triangle is congruent to G since they are symmetrical. (flipped over)

Triangle D is congruent to C since the 1/4 octagon is split in half, evenly.

40 responses saying "cat", 2 "4" bars,  so each bar is 40/4 /2= 10/2 = 5 people.

Dogs: 5 bars men, 6 women, so 11 * 5 = 55 dogs.

Hamster: 3men, 1 women, so 4*5 = 20 hammysters LOL(hamsters)

Other: 2 men 3 women so 5*5 = 25 othesrs.

If you don't understand anything feel free to ask!

12 1/4 divided by 7/8 = (49/4)/(7/8) = 49/4 * 8/7 = 56/4 = 14

There's also a sign at the beginning, so 14+1 = 15 total signs.

If you don't understand anything feel free to ask.

So we know That the base is 4*4 = 16 units large.

The sides give us 4*4 = 16 units.

The top is the 16 minus the above layer's base(3*3= 9) so 16-9 = 7.

The 3*3 layer has 3*4 =12 on the sides, and 9-4 = 5 for the top.

The 2*2 layer has 4*2 = 8 on the sides, and 4-1 = 3 for the top. 

1*1 has 1*4 for the sides, and 1 for the top.

Adding together: 16+16 + 7 + 12 + 5 + 8 + 3 + 4 + 1 = 72

If you don't understand anything feel free to ask!

No problem!